72813573 has 40 divisors (see below), whose sum is σ = 126707328. Its totient is φ = 40805856.

The previous prime is 72813547. The next prime is 72813619. The reversal of 72813573 is 37531827.

72813573 is a `hidden beast` number, since 7 + 2 + 81 + 3 + 573 = 666.

It is not a de Polignac number, because 72813573 - 2⁵ = 72813541 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72813173) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28840 + ... + 31262.

Almost surely, 2^72813573 is an apocalyptic number.

It is an amenable number.

72813573 is a deficient number, since it is larger than the sum of its proper divisors (53893755).

72813573 is a wasteful number, since it uses less digits than its factorization.

72813573 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2486 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 72813573 is about 8533.0869560787. The cubic root of 72813573 is about 417.5778438998.

The spelling of 72813573 in words is "seventy-two million, eight hundred thirteen thousand, five hundred seventy-three".